1968467536728 has 192 divisors, whose sum is σ = 6938939779200. Its totient is φ = 511290239040.

The previous prime is 1968467536703. The next prime is 1968467536747. The reversal of 1968467536728 is 8276357648691.

1968467536728 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 4 + 67 + 536 + 7 + 28 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8337450 + ... + 8570297.

It is an arithmetic number, because the mean of its divisors is an integer number (36140311350).

Almost surely, 2^{1968467536728} is an apocalyptic number.

1968467536728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1968467536728 is an abundant number, since it is smaller than the sum of its proper divisors (4970472242472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1968467536728 is a wasteful number, since it uses less digits than its factorization.

1968467536728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16907787 (or 16907770 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 1968467536728 in words is "one trillion, nine hundred sixty-eight billion, four hundred sixty-seven million, five hundred thirty-six thousand, seven hundred twenty-eight".